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Finding the Third Proportional to 23,224 and 50,896

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Solution

The third proportional to 23,224 and 50,896 is: 111,539.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,224 : 50,896 = 50,896 : x
  2. Step 2: Convert to fraction form
    23,224/50,896 = 50,896/x
  3. Step 3: Cross multiply
    23,224x = 50,896 × 50,896
  4. Step 4: Simplify right side
    23,224x = 2,590,402,816
  5. Step 5: Solve for x
    x = 2,590,402,816/23,224
  6. Step 6: Final answer
    x = 111,539.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.